Atkin-Lehner |
2- 5- 13- 19+ |
Signs for the Atkin-Lehner involutions |
Class |
32110bi |
Isogeny class |
Conductor |
32110 |
Conductor |
∏ cp |
24 |
Product of Tamagawa factors cp |
deg |
51840 |
Modular degree for the optimal curve |
Δ |
396558500 = 22 · 53 · 133 · 192 |
Discriminant |
Eigenvalues |
2- -2 5- 4 -4 13- -2 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,-12230,-521600] |
[a1,a2,a3,a4,a6] |
j |
92082106484893/180500 |
j-invariant |
L |
2.7239181716138 |
L(r)(E,1)/r! |
Ω |
0.45398636193606 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
32110k1 |
Quadratic twists by: 13 |